68 citations · 203 across the 58 of their papers we have counts for
9 papers · 1 filter
Counting -Naples parking functions through permutations and the -Naples area statistic
Laura Colmenarejo, Pamela E. Harris, Zakiya Jones +4
We recall that the -Naples parking functions of length (a generalization of parking functions) are defined by requiring that a car which finds its preferred spot occupied mu…
Tipsy cop and drunken robber: a variant of the cop and robber game on graphs
Pamela Harris, Erik Insko, Alicia Prieto-Langarica +2
Motivated by a biological scenario illustrated in the YouTube video \url{ https://www.youtube.com/watch?v=Z_mXDvZQ6dU} where a neutrophil chases a bacteria cell moving in random di…
Weight -multiplicities for representations of the exceptional Lie algebra
Jerrell Cockerham, Melissa Gutiérrez González, Pamela E. Harris +4
Given a simple Lie algebra , Kostant's weight -multiplicity formula is an alternating sum over the Weyl group whose terms involve the -analog of Kostant's parti…
Generalized Lattice Point Visibility
Carolina Benedetti, Santiago Estupiñán, Pamela E. Harris
It is a well-known result that the proportion of lattice points visible from the origin is given by , where denotes the Rieman…
A formula for enumerating permutations with a fixed pinnacle set
Alexander Diaz-Lopez, Pamela E. Harris, Isabella Huang +2
In 2017 Davis, Nelson, Petersen, and Tenner pioneered the study of pinnacle sets of permutations and asked whether there exists a class of operations, which applied to a permutatio…
On the asymptotic behavior of the -analog of Kostant's partition function
Pamela E. Harris, Margaret Rahmoeller, Lisa Schneider
Kostant's partition function counts the number of distinct ways to express a weight of a classical Lie algebra as a sum of positive roots of . We refer…